Question

What type of number will result from the expression 19−−√ − 32
?(1 point)
Responses

whole number
whole number

integer
integer

rational
rational

irrational number

Answer 1

To evaluate the expression \( \sqrt{19} - 32 \), we first need to understand the nature of the components in the expression:

- \( \sqrt{19} \) is an irrational number because 19 is not a perfect square.
- \( 32 \) is a whole number (and also an integer).

When we subtract a whole number (32) from an irrational number (\( \sqrt{19} \)), the result is still an irrational number. This is because the sum or difference of a rational number (such as a whole number) and an irrational number is always irrational.

Therefore, \( \sqrt{19} - 32 \) is an **irrational number**.

So the correct answer is:

**irrational number**.